Hyper-Dimensional Entanglement Verification
Jincheng Zhang
Abstract
This paper proposes a novel approach to verifying quantum entanglement with significantly improved fidelity compared to traditional Bell tests. The core idea revolves around exploiting correlations within a high-dimensional Hilbert space, specifically a 100+ dimensional space, using a network of spatially separated sensors. Each sensor measures a correlated set of quantum states. Advanced Bayesian inference is then employed to filter out noise and establish genuine entanglement with statistical significance exceeding conventional Bell test thresholds. This method moves beyond the limitations of 2-dimensional Bell tests by directly probing entanglement in higher dimensions. The utilization of correlated sensor networks provides a robust verification strategy, and the Bayesian inference process offers a fundamentally new approach to noise reduction. The potential impact of this approach lies in its ability to provide a more definitive confirmation of quantum entanglement, crucial for advancing quantum technologies and our understanding of the foundations of quantum mechanics. The key mathematical concepts underpinning this verification process are presented, along with a theoretical framework for quantifying the fidelity of the entanglement detection. ---